less than a minute read Jun 17, 2024

Simplifying (x^5)^6

In mathematics, simplifying expressions is a fundamental skill. One such expression is (x^5)^6. Let's break down how to simplify it using the rules of exponents.

The Rule of Exponents

The key rule we need here is the power of a power rule:

(a^m)^n = a^(m*n)

This rule tells us that when raising a power to another power, we multiply the exponents.

Applying the Rule

Let's apply this rule to our expression:

(x^5)^6 = x^(5*6)

Simplifying the Expression

Finally, we perform the multiplication:

x^(5*6) = x^30


Therefore, the simplified form of (x^5)^6 is x^30.

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